Understanding the dynamics of wildfire is crucial for developing management and intervention strategies. Mathematical and computational models can be used to improve our understanding of wildfire processes and dynamics. This paper presents a systematic study of a widely used advection–diffusion–reaction wildfire model with non-linear coupling. The importance of single mechanisms is discovered by analysing hierarchical sub-models. Numerical simulations provide further insight into the dynamics. As a result, the influence of wind and model parameters such as the bulk density or the heating value on the wildfire propagation speed and the remaining biomass after the burn are assessed. Linearisation techniques for a reduced model provide surprisingly good estimates for the propagation speed in the full model.

中文翻译：

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对野火动力学的分析和数值见解：探索平流-扩散-反应模型

了解野火的动态对于制定管理和干预策略至关重要。数学和计算模型可用于增进我们对野火过程和动力学的理解。本文对广泛使用的非线性耦合平流-扩散-反应野火模型进行了系统研究。通过分析分层子模型发现单一机制的重要性。数值模拟提供了对动力学的进一步了解。因此，可以评估风和模型参数（例如体积密度或热值）对野火传播速度和燃烧后剩余生物量的影响。简化模型的线性化技术为完整模型中的传播速度提供了令人惊讶的良好估计。